1 citations · 1 across the 1 of their papers we have counts for
4 papers
A new -FEM approach for problems with natural boundary conditions
Michel Duprez, Vanessa Lleras, Alexei Lozinski
We present a new finite element method, called -FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simpl…
-FEM: a finite element method on domains defined by level-sets
Michel Duprez, Alexei Lozinski
We propose a new fictitious domain finite element method, well suited for elliptic problems posed in a domain given by a level-set function without requiring a mesh fitting the bou…
CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes
Alexei Lozinski
We present a method of CutFEM type for the Poisson problem with either Dirichlet or Neumann boundary conditions. The computational mesh is obtained from a background (typically uni…
Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study
Michel Duprez, Stéphane P. A. Bordas, Marek Bucki +7
Errors in biomechanics simulations arise from modeling and discretization. Modeling errors are due to the choice of the mathematical model whilst discretization errors measure the…